Question

Solve for a if the line through the two given points has the given slope.(a, 6) and (0, 1), m = 1a=

Answer 1

Given:

Two points are,

`(a,6),(0,1)`

The slope is,

`m=1`

To find:

The value of a.

Step-by-step explanation:

Using the slope-intercept form of a line equation,

`y=mx+c`

Substituting y-intercept c = 1 and slope m = 1 we get,

`y=(1)x+1`

Then substituting the first point we get,

`\begin{gathered} 6=a+1 \\ a=6-1 \\ a=5 \end{gathered}`

The value of a is 5.

Final answer:

The value of a is 5.